An example of non-uniqueness of a simple partial fraction of the best uniform approximation

DOI10.3103/S1066369X13090041zbMath1315.41007MaRDI QIDQ2439362

M. A. Komarov

Publication date: 14 March 2014

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

complex variablelogarithmic derivativealternation characterization

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20)

Related Items (9)

Approximation by linear fractional transformations of simple partial fractions and their differences ⋮ A criterion for the best uniform approximation by simple partial fractions in terms of alternance. II ⋮ Extremal properties of logarithmic derivatives of polynomials ⋮ Approximation by special differences of simplest fractions ⋮ A criterion for the solvability of the multiple interpolation problem by simple partial fractions ⋮ Extremal and approximative properties of simple partial fractions ⋮ Criteria for the best approximation by simple partial fractions on semi-axis and axis ⋮ Least deviation of logarithmic derivatives of algebraic polynomials from zero ⋮ Approximation to constant functions by electrostatic fields due to electrons and positrons

Cites Work

• Unnamed Item
• Chebyshev's alternance in the approximation of constants by simple partial fractions
• Approximation by simple fractions
• On the rate of approximation of closed Jordan curves by lemniscates
• Convergence of simple partial fractions in $ L_p(\mathbb R)$
• Convergence of series of simple partial fractions in $ L_p(\mathbb R)$
• Approximation by simple partial fractions and the Hilbert transform

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